Partial actions and Galois theory

By Mikhailo Dokuchaev, Miguel Ferrero, Antonio Paques. 2007

141 citations recorded by the source corpus.

Abstract In this article, among other results, we develop a Galois theory of commutative rings under partial actions of finite groups, extending the well-known results by S.U. Chase, D.K. Harrison and A. Rosenberg.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6079389b0e027a0f91e846a0ec1f1712bb92b5a1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Mikhailo Dokuchaev
2. Dirceu Bagio
3. Antonio Paques
4. R. Exel
5. Marcelo Muniz Silva Alves
6. Eliezer Batista

In Mathematical Physics

1. Mikhailo Dokuchaev
2. Marcelo Muniz Silva Alves
3. Eliezer Batista
4. Antonio Paques
5. Dirceu Bagio
6. R. Exel
7. Ben Steinberg
8. Mark V. Lawson

Citations in the corpus

• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory (2011, background): “In particular, in this case, De is an e -partial Galois extension of D e e in the sense of [13], for every e ∈ G0.”
• Crossed products by twisted partial actions and graded algebras (2008, background): “Algebraic counterparts for some of the above mentioned notions were introduced and studied in [14] and [13], stimulating further investigations in [5], [8], [9], [10], [11], [15], [16], [17], [18], [28], [29] and [33].”
• Enveloping Actions for Partial Hopf Actions (2008, background): “Partial Hopf actions were motivated by an attempt to generalize the notion of partial Galois extensions of commutative rings, first introduced by M. Dokuchaev, M. Ferrero and A. Paques in [ 7 ].”